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Simplifying 6xy(3x2 + 4y) = 0 (3x2 * 6xy + 4y * 6xy) = 0 Reorder the terms: (24xy2 + 18x3y) = 0 (24xy2 + 18x3y) = 0 Solving 24xy2 + 18x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6xy'. 6xy(4y + 3x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4y + 3x2)' equal to zero and attempt to solve: Simplifying 4y + 3x2 = 0 Reorder the terms: 3x2 + 4y = 0 Solving 3x2 + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 3x2 + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 3x2 + 0 = 0 + -4y 3x2 = 0 + -4y Remove the zero: 3x2 = -4y Divide each side by '3'. x2 = -1.333333333y Simplifying x2 = -1.333333333y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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